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Finding the Fourth Proportional to 869.90, 1,302.32 and 544.28

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Solution

The fourth proportional to 869.90, 1,302.32 and 544.28 is: 814.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.90 : 1,302.32 = 544.28 : x
  2. Step 2: Convert to fraction form
    869.90/1,302.32 = 544.28/x
  3. Step 3: Cross multiply
    869.90x = 1,302.32 × 544.28
  4. Step 4: Simplify right side
    869.90x = 708,826.73
  5. Step 5: Solve for x
    x = 708,826.73/869.90
  6. Step 6: Final answer
    x = 814.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.